Mathematics

Construct a frequency distribution table from the following cumulative frequency distribution:
(i)
Class Interval Cumulative Frequency
10 - 19 8
20 - 29 19
30 - 39 23
40 - 49 30
(ii)
C.I. C.F.
5 - 10 18
10 - 15 30
15 - 20 46
20 - 25 73
25 - 30 90

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Answer

(i) The frequency distribution table is

Class Interval	Cumulative Frequency	Frequency
10 - 19	8	8
20 - 29	19	19 - 8 = 11
30 - 39	23	23 -19 = 4
40 - 49	30	30 -23 = 7

(ii) The frequency distribution table is

Class Interval	Cumulative Frequency	Frequency
5 - 10	18	18
10 - 15	30	30 - 18 = 12
15 - 20	46	46 - 30 = 16
20 - 25	73	73 - 46 = 27
25 - 30	90	90 -73 = 17

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Related Questions

Use the table given below to find :
(a) The actual class limits of the fourth class.
(b) The class boundaries of the sixth class.
(c) The class mark of the third class.
(d) The upper and lower limits of the fifth class.
(e) The size of the third class.
Class Interval Frequency
30 - 34 7
35 - 39 10
40 - 44 12
45 - 49 13
50 - 54 8
55 - 59 4
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